0.761 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.132 * * * [progress]: [2/2] Setting up program. 0.140 * [progress]: [Phase 2 of 3] Improving. 0.144 * [simplify]: Simplifying: (* 0.5 (- (* x x) y)) 0.145 * * [simplify]: iteration 0: 6 enodes 0.153 * * [simplify]: iteration 1: 10 enodes 0.156 * * [simplify]: iteration 2: 17 enodes 0.161 * * [simplify]: iteration 3: 29 enodes 0.169 * * [simplify]: iteration 4: 40 enodes 0.179 * * [simplify]: iteration 5: 42 enodes 0.190 * * [simplify]: iteration complete: 42 enodes 0.190 * * [simplify]: Extracting #0: cost 1 inf + 0 0.190 * * [simplify]: Extracting #1: cost 12 inf + 0 0.191 * * [simplify]: Extracting #2: cost 8 inf + 44 0.191 * * [simplify]: Extracting #3: cost 0 inf + 579 0.192 * [simplify]: Simplified to: (* (- (* x x) y) 0.5) 0.195 * * [progress]: iteration 1 / 4 0.195 * * * [progress]: picking best candidate 0.201 * * * * [pick]: Picked # 0.201 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.302 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 0.302 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [backup-simplify]: Simplify x into x 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [backup-simplify]: Simplify y into y 0.305 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [backup-simplify]: Simplify y into y 0.306 * [backup-simplify]: Simplify (- y) into (- y) 0.306 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.306 * [taylor]: Taking taylor expansion of (- y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- 1) into -1 0.308 * [backup-simplify]: Simplify -1 into -1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 0.312 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.313 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [backup-simplify]: Simplify x into x 0.313 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.313 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [backup-simplify]: Simplify y into y 0.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [backup-simplify]: Simplify y into y 0.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.315 * [backup-simplify]: Simplify (+ 1 0) into 1 0.315 * [taylor]: Taking taylor expansion of 1 in y 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.318 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (- 1) into -1 0.318 * [backup-simplify]: Simplify -1 into -1 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 0.324 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.324 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [backup-simplify]: Simplify x into x 0.324 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.324 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [backup-simplify]: Simplify y into y 0.326 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [taylor]: Taking taylor expansion of 1 in y 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 0.368 * * * [progress]: simplifying candidates 0.370 * [simplify]: Simplifying: (fma x x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma x x (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma x x (- (* y 1))) (fma (- y) 1 (* y 1)) (expm1 (- (* x x) y)) (log1p (- (* x x) y)) (- y) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.370 * * [simplify]: iteration 0: 51 enodes 0.394 * * [simplify]: iteration 1: 136 enodes 0.515 * * [simplify]: iteration 2: 567 enodes 1.594 * * [simplify]: iteration 3: 4365 enodes 3.381 * * [simplify]: iteration complete: 5000 enodes 3.381 * * [simplify]: Extracting #0: cost 17 inf + 0 3.383 * * [simplify]: Extracting #1: cost 622 inf + 0 3.396 * * [simplify]: Extracting #2: cost 1125 inf + 25144 3.440 * * [simplify]: Extracting #3: cost 212 inf + 147263 3.515 * * [simplify]: Extracting #4: cost 43 inf + 174388 3.579 * * [simplify]: Extracting #5: cost 3 inf + 187622 3.636 * * [simplify]: Extracting #6: cost 0 inf + 188528 3.676 * [simplify]: Simplified to: (- (* x x) y) (- y y) (- (* x x) y) (- y y) (- (* x x) y) (- y y) (expm1 (- (* x x) y)) (log1p (- (* x x) y)) (- y) (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (- (* x x) y) (* (- (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (* (* (* x x) (* x x)) (* x x)) (* (* y y) y)) (fma y (+ (* x x) y) (* (* x x) (* x x))) (- y) (* (+ (* x x) y) (- (* x x) y)) (fma x x y) (+ (sqrt y) x) (- x (sqrt y)) (- y) (- (* x x) y) (- (* x x) y) (- (* x x) y) 3.678 * * * [progress]: adding candidates to table 3.752 * * [progress]: iteration 2 / 4 3.752 * * * [progress]: picking best candidate 3.755 * * * * [pick]: Picked # 3.755 * * * [progress]: localizing error 3.763 * * * [progress]: generating rewritten candidates 3.763 * * * [progress]: generating series expansions 3.763 * * * [progress]: simplifying candidates 3.763 * [simplify]: Simplifying: 3.763 * * [simplify]: iteration 0: 0 enodes 3.763 * * [simplify]: iteration complete: 0 enodes 3.764 * * [simplify]: Extracting #0: cost 0 inf + 0 3.764 * [simplify]: Simplified to: 3.764 * * * [progress]: adding candidates to table 3.764 * [progress]: [Phase 3 of 3] Extracting. 3.768 * [simplify]: Simplifying: (* 0.5 (fma x x (- y))) 3.768 * * [simplify]: iteration 0: 6 enodes 3.768 * * [simplify]: iteration 1: 7 enodes 3.769 * * [simplify]: iteration complete: 7 enodes 3.769 * * [simplify]: Extracting #0: cost 1 inf + 0 3.769 * * [simplify]: Extracting #1: cost 3 inf + 0 3.769 * * [simplify]: Extracting #2: cost 4 inf + 1 3.769 * * [simplify]: Extracting #3: cost 4 inf + 2 3.769 * * [simplify]: Extracting #4: cost 0 inf + 279 3.769 * [simplify]: Simplified to: (* (fma x x (- y)) 0.5) 4.878 * [regime-testing]: Baseline error score: 0.040130016252031504 4.892 * [regime-testing]: Oracle error score: 0.040130016252031504 4.892 * [regime-testing]: End program error score: 0.040130016252031504